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Addition Worksheets

Are you looking for free worksheets to give you or your students more practice with addition? Look no further! Here is a great selection of free math worksheets to help you reinforce learning. These worksheets are available in a variety of formats and the answer keys are underneath. Feel free to copy or modify these worksheets for your classroom use.

The free math worksheets below will help your children become addition experts. Starting with single-digit addition, your students will work their way up through more complicated problems featuring additional digits as well as carrying across place values.

Addition

Addition is a branch of arithmetic, one of our oldest and most utilized area of mathematics. Addition has been used for everyday functions by civilizations for well over 4,000 years. The typically simple process of addition consists of combining two or more numbers to reach a total value. The numbers being added together are referred to as addends and the total value after addition is called the sum.

The development of addition skills usually begins well before children reach school age, often developed during early childhood playground games. After children have mastered the basic art of counting, the concept of addition is formalized by teaching students to add two simple digits, resulting in sums that do not require the student to “carry” any numbers (e.g. 3 + 6 = 9) and then to addends that result in a two-digit sum (e.g. 3 + 9 = 12).

Eventually, students are introduced to an addition algorithm that will allow them to quickly add numbers of any size. This is the traditional method that many of us parents and adults learned in school. This strategy asks children to add numbers vertically, lining up each place value. Children then find the vertical sums of each place value, while taking any resulting tw0-digit sum and “carrying” that value over to the next column, or place value. This strategy is simple to learn, easy to remember, and can be applied to any number, no matter how large or small.

The idea of addition, simple as it may be, is one that forms a foundation of our counting system. Addition is commutative, which means that numbers can be added in any order, yet the sum will always remain the same (e.g. 3 + 4 = 7 and 4 + 3 = 7). Adding digits is also associative, which means the digits can be grouped together in any way, yet still result in the same sum (e.g [6 + 5] + 1 = 12 and 6 + [5 + 1] = 12

Besides helping to hold our counting system together, addition is an absolutely necessary math skill for everyday life. The ability to add simple numbers together is a daily requirement for just about any job, game, or everyday activity.